Solve (1/2)^2-1/3-12

$$( \frac { 1 } { 2 } ) ^ { 2 } - \frac { 1 } { 3 } - 12$$

Evaluate

$$-\frac{145}{12}\approx -12.083333333$$

Solution Steps

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$\frac{1}{4}-\frac{1}{3}-12$$

Least common multiple of 4 and 3 is 12. Convert \frac{1}{4} and \frac{1}{3} to fractions with denominator 12.

$$\frac{3}{12}-\frac{4}{12}-12$$

Since \frac{3}{12} and \frac{4}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-4}{12}-12$$

Subtract 4 from 3 to get -1.

$$-\frac{1}{12}-12$$

Convert 12 to fraction \frac{144}{12}.

$$-\frac{1}{12}-\frac{144}{12}$$

Since -\frac{1}{12} and \frac{144}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-144}{12}$$

Subtract 144 from -1 to get -145.

$$-\frac{145}{12}$$

Factor

$$-\frac{145}{12} = -12\frac{1}{12} = -12.083333333333334$$